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pochemuha
3 years ago
8

For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps d

id Ronnie swim during practice?
Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

36 laps Ronnie swim during practice .

Step-by-step explanation:

Let us assume that the laps that Ronnie swims be x .

Let us assume that the laps that Jackie swims be y .

As given

For every 3 laps that Jackie swims, Ronnie swims 4 laps.

i.e

3 × laps that Ronnie swims = 4 × laps that Jackie swims

3 × x = 4 × y

3x = 4y

Equation becomes

x + y  = 63

Thus by using 3x = 4y .

y = \frac{3x}{4}

Thus

x +\frac{3x}{4} = 63

4x + 3x = 63 × 4

7x = 252

x = 36

Put the value of x in the equation x + y  = 63

36 + y = 63

y = 63 - 36

y = 27

Therefore the 36 laps Ronnie swim during practice .

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The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inch
Shtirlitz [24]

Answer:

The probability will be "0.0111".

Step-by-step explanation:

The given values are:

Mean,

\mu = 79

Standard deviation,

\sigma = 3.5

Now,

⇒ \sigma\bar x = \frac{\sigma}{\sqrt n}

         =   \frac{3.5}{\sqrt 16}

         =0.875

⇒ P(\bar x > 81) = 1 - P(\bar x < 81)

So,

= 1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x}  < \frac{(81 - 79) }{0.875} ]

= 1 - P(z < 2.2857)

= 0.0111

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3 years ago
Need help with this Question
vazorg [7]

Answer:

Step-by-step explanation:

W∩ X is asking for the intersection of sets W and X, or simply, which numbers can be found in both sets.

The numbers shared between the two sets are 3, 4, 5.

Next, we need to union this result with the set Y, or simply, combine the numbers in both sets together.

This would result in 2, 3, 4, 5

5 0
3 years ago
Marshall is buying snacks for a party. He spent$4727 on the snacks. If the sales tax rate is 6%, what was Marshall’s total bill?
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Her total bill was $18.09
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A packing box measures 36 centimeters by 14 centimeters by 20 centimeters. What is the volume of the box?
natima [27]

Answer:

1000

Step-by-step explanation:

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6 0
3 years ago
Find values a and b that satisfy a∙〈5,-4,0〉+b∙〈2,2,-3〉=〈11,-16,-6〉.
WARRIOR [948]

The right hand side of the equation is 〈11 , -16 , 6〉

The values of a and b are a = 3 , b = -2

Step-by-step explanation:

If n . <a , b> + m . <c , d> = < x , y>, then

  • na + mc = x
  • nb + md = y

∵ a  ∙〈5 , -4 , 0〉 + b ∙ 〈2 , 2 , -3〉 = 〈11 , -16 , 6〉

- By using the rule above

∴ a(5) + b(2) = 11 ⇒ (1)

∴ a(-4) + b(2) = -16 ⇒ (2)

∴ a(0) + b(-3) = 6 ⇒ (3)

Use equation (3) to find the value of b

∵ a(0) + b(-3) = 6

∴ 0 - 3b = 6

∴ -3b = 6

- Divide both sides by -3

∴ b = -2

Substitute b in equation (1) or equation (2) to find a

∵ a(5) + b(-2) = 11

∴ 5a - 2b = 11

∵ b = 2

∴ 5a - 2(2) = 11

∴ 5a - 4 = 11

- Add 4 to both sides

∴ 5a = 15

- Divide both sides by 5

∴ a = 3

To check your answer substitute a and b in equation (2)

∵ a(-4) + b(2) = -16

∴ -4a + 2b = -16

∵ a = 3 , b = -2

∵ The left hand side is -4a + 2b = -4(3) + 2(-2) = -12 - 4 = -16

∵ The right hand side is -16

∴ L.H.S = R.H.S

∴ The values of a and b are 3 , -2

The values of a and b are a = 3 , b = -2

Learn more:

You can learn more about the equations in brainly.com/question/11306893

#LearnwithBrainly

8 0
3 years ago
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